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math.DS2025
Wandering Flows on the Plane
Joseph Auslander, Roberto De Leo
We study planar flows without non-wandering points and prove several properties of these flows in relation with their prolongational relation. The main results of this article are…
math.DS2025
Streams, Graphs and Global Attractors of Dynamical Systems on Locally Compact Spaces
Roberto De Leo, James A. Yorke
In a recent article, we introduced the concept of streams and graphs of a semiflow. An important related concept is the one of semiflow with {\em compact dynamics}, which we define…
math.DS2024
What is the graph of a dynamical system?
Chirag Adwani, Roberto De Leo, James A. Yorke
Some of the basic properties of any dynamical system can be summarized by a graph. The dynamical systems in our theory run from maps like the logistic map to ordinary differential…